How Long to Read Linear Algebra for Pattern Processing

By Kenichi Kanatani

How Long Does it Take to Read Linear Algebra for Pattern Processing?

It takes the average reader 2 hours and 21 minutes to read Linear Algebra for Pattern Processing by Kenichi Kanatani

Assuming a reading speed of 250 words per minute. Learn more

Description

Linear algebra is one of the most basic foundations of a wide range of scientific domains, and most textbooks of linear algebra are written by mathematicians. However, this book is specifically intended to students and researchers of pattern information processing, analyzing signals such as images and exploring computer vision and computer graphics applications. The author himself is a researcher of this domain. Such pattern information processing deals with a large amount of data, which are represented by high-dimensional vectors and matrices. There, the role of linear algebra is not merely numerical computation of large-scale vectors and matrices. In fact, data processing is usually accompanied with "geometric interpretation." For example, we can think of one data set being "orthogonal" to another and define a "distance" between them or invoke geometric relationships such as "projecting" some data onto some space. Such geometric concepts not only help us mentally visualize abstract high-dimensional spaces in intuitive terms but also lead us to find what kind of processing is appropriate for what kind of goals. First, we take up the concept of "projection" of linear spaces and describe "spectral decomposition," "singular value decomposition," and "pseudoinverse" in terms of projection. As their applications, we discuss least-squares solutions of simultaneous linear equations and covariance matrices of probability distributions of vector random variables that are not necessarily positive definite. We also discuss fitting subspaces to point data and factorizing matrices in high dimensions in relation to motion image analysis. Finally, we introduce a computer vision application of reconstructing the 3D location of a point from three camera views to illustrate the role of linear algebra in dealing with data with noise. This book is expected to help students and researchers of pattern information processing deepen the geometric understanding of linear algebra.

How long is Linear Algebra for Pattern Processing?

Linear Algebra for Pattern Processing by Kenichi Kanatani is 141 pages long, and a total of 35,391 words.

This makes it 48% the length of the average book. It also has 43% more words than the average book.

How Long Does it Take to Read Linear Algebra for Pattern Processing Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 13 minutes to read Linear Algebra for Pattern Processing aloud.

What Reading Level is Linear Algebra for Pattern Processing?

Linear Algebra for Pattern Processing is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Linear Algebra for Pattern Processing?

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